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66998800 = 24521115227
BaseRepresentation
bin1111111110010…
…1001000010000
311200001220002001
43333211020100
5114122430200
610352003344
71442323531
oct377451020
9150056061
1066998800
1134901210
121a530554
1310b5a77b
148c80688
155d3676a
hex3fe5210

66998800 has 60 divisors (see below), whose sum is σ = 175609296. Its totient is φ = 24361600.

The previous prime is 66998783. The next prime is 66998809. The reversal of 66998800 is 889966.

It is a happy number.

66998800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66998809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3214 + ... + 12013.

Almost surely, 266998800 is an apocalyptic number.

It is an amenable number.

66998800 is an abundant number, since it is smaller than the sum of its proper divisors (108610496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66998800 is a wasteful number, since it uses less digits than its factorization.

66998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 66998800 is about 8185.2794698776. The cubic root of 66998800 is about 406.1523852253.

The spelling of 66998800 in words is "sixty-six million, nine hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 15227 30454 60908 76135 121816 152270 167497 243632 304540 334994 380675 609080 669988 761350 837485 1218160 1339976 1522700 1674970 2679952 3045400 3349940 4187425 6090800 6699880 8374850 13399760 16749700 33499400 66998800